erweitern (8z+pi/(10))(37pi)/(90)

Lösung

erweitern

(8 z + \frac{π}{10}) \frac{37 π}{90}

\frac{148 π z}{45} + \frac{37 π ^{2}}{900}

Schritte zur Lösung

(8 z + \frac{π}{10}) \frac{37 π}{90}

= \frac{37 π}{90} (8 z + \frac{π}{10})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = \frac{37 π}{90}, b = 8 z, c = \frac{π}{10}

= \frac{37 π}{90} \cdot 8 z + \frac{37 π}{90} \cdot \frac{π}{10}

= 8 \cdot \frac{37 π}{90} z + \frac{π}{10} \cdot \frac{37 π}{90}

Vereinfache

8 \cdot \frac{37 π}{90} z + \frac{π}{10} \cdot \frac{37 π}{90} : \frac{148 π z}{45} + \frac{37 π ^{2}}{900}

= \frac{148 π z}{45} + \frac{37 π ^{2}}{900}

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